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Finding the Fourth Proportional to 469,706.96, 644,210.14 and 450,417.44

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Solution

The fourth proportional to 469,706.96, 644,210.14 and 450,417.44 is: 617,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,706.96 : 644,210.14 = 450,417.44 : x
  2. Step 2: Convert to fraction form
    469,706.96/644,210.14 = 450,417.44/x
  3. Step 3: Cross multiply
    469,706.96x = 644,210.14 × 450,417.44
  4. Step 4: Simplify right side
    469,706.96x = 290,163,482,080.84
  5. Step 5: Solve for x
    x = 290,163,482,080.84/469,706.96
  6. Step 6: Final answer
    x = 617,754.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.